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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 621 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹41 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹31 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 10 kg of tea at ₹47 per kg with 6 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.A grocer mixes 6 kg of tea at ₹28 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  11. 11.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  12. 12.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  13. 13.Rice at ₹27 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹105 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 4 kg of tea at ₹120 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 5 kg of tea at ₹103 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  18. 18.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A grocer mixes 8 kg of tea at ₹46 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 10 kg of tea at ₹60 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 3 kg of tea at ₹93 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹31 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 12 kg of tea at ₹112 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹35 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  33. 33.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  40. 40.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?

Answer key

  1. 7
  2. 50
  3. 16
  4. 40
  5. 62
  6. 35
  7. 70
  8. 2
  9. 10
  10. 4
  11. 14
  12. 24
  13. 2
  14. 103
  15. 111
  16. 76
  17. 15
  18. 25
  19. 25
  20. 41
  21. 66
  22. 50
  23. 60
  24. 26
  25. 20
  26. 3
  27. 55
  28. 109
  29. 34
  30. 60
  31. 70
  32. 15
  33. 12
  34. 75
  35. 10
  36. 10
  37. 50
  38. 7
  39. 24
  40. 24

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